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Popular >

simplify ((2^4)^{-2})^4

Solution

simplify

((2^{4})^{- 2})^{4}

Solution

\frac{1}{2 ^{32}}

+1

Decimal Notation

2.32831 E - 10

Solution steps

((2^{4})^{- 2})^{4}

(2^{4})^{- 2} : 2^{- 8}

= (2^{- 8})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2^{(- 8) \cdot 4}

(- 8) \cdot 4 = - 32

= 2^{- 32}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{2 ^{32}}

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Frequently Asked Questions (FAQ)

What is ((2^4)^{-2})^4 ?
The solution to ((2^4)^{-2})^4 is 1/(2^{32)}